Solve 4x-3x(-28/17)=12

$$4 x - 3 x ( - \frac { 28 } { 17 } ) = 12$$

Solve for x

$$x = \frac{51}{38} = 1\frac{13}{38} \approx 1.342105263$$

Steps for Solving Linear Equation

Express 3\left(-\frac{28}{17}\right) as a single fraction.

$$4x-\frac{3\left(-28\right)}{17}x=12$$

Multiply 3 and -28 to get -84.

$$4x-\frac{-84}{17}x=12$$

Fraction \frac{-84}{17} can be rewritten as -\frac{84}{17} by extracting the negative sign.

$$4x-\left(-\frac{84}{17}x\right)=12$$

The opposite of -\frac{84}{17}x is \frac{84}{17}x.

$$4x+\frac{84}{17}x=12$$

Combine 4x and \frac{84}{17}x to get \frac{152}{17}x.

$$\frac{152}{17}x=12$$

Multiply both sides by \frac{17}{152}, the reciprocal of \frac{152}{17}.

$$x=12\times \frac{17}{152}$$

Express 12\times \frac{17}{152} as a single fraction.

$$x=\frac{12\times 17}{152}$$

Multiply 12 and 17 to get 204.

$$x=\frac{204}{152}$$

Reduce the fraction \frac{204}{152} to lowest terms by extracting and canceling out 4.

$$x=\frac{51}{38}$$